You can't. Australia's AML regs are quite strict. You need to be identified in person and your identification checked against a points system. The identification is cross-checked with immigration records which is how it is determined you are lawfully eligible for banking products. 12 years ago I did manage to open a St George account online but that was before they were cross-checking DFAT records in real time as the account is being opened.
One bank which might work is Citibank as I also opened mine online while in South Africa. That was about 15 years ago and you must have an Aus